Question:
What amount does Richard have to pay after 5 years if he takes a loan of $3600 at 6% simple interest?
Correct Answer
$4680
Solution And Explanation
Solution
Given,
Principal (P) = $3600
Rate of Simple Interest (SI) = 6%
Time (t) = 5 years
Thus, Amount (A) = ?
The Rate of Interest is always calculated per annum, i.e. per year.
Thus, here 6% simple interest means, Rate of Simple Interest (SI) is 6% per annum.
Method (1) Using Formula
Calculation of Simple Interest
Formula to Calculate Simple Interest
Simple Interest (SI) = Principal × Rate × Time
Thus, Simple Interest (SI) = $3600 × 6% × 5
= $3600 ×6/100 × 5
= 3600 × 6 × 5/100
= 21600 × 5/100
= 108000/100
= $1080
Thus, Simple Interest = $1080
Calculation of Amount
The total money paid to the lender by a borrower is called the Amount.
In other words, sum of priciple and interest is called the Amount.
Formula to Calculate the Amount
Amount = Principal + Interest
Thus, Amount = $3600 + $1080
= $4680
Thus, Amount to be paid = $4680 Answer
Method (2)
Calculation of Amount when Principal, Rate of Simple Interest and Time are given
Calculation of Amount directly using Principal, SI, and Time
Formula to calculate the Amount
Amount (A) = Principal (P) + Principal(P) × Rate of Interest (SI) × Time (t)
⇒ A = P + PRT
Here in the question, P = $3600
Rate of Simple Interest (SI) or (R) = 6%
And, Time (t) = 5 years
Thus, Amount (A)
= $3600 + ($3600 × 6% × 5)
= $3600 + ($3600 ×6/100 × 5)
= $3600 + (3600 × 6 × 5/100)
= $3600 + (21600 × 5/100)
= $3600 + (108000/100)
= $3600 + $1080 = $4680
Thus, Amount (A) to be paid = $4680 Answer
Method (3) Unitary Method
Calculation of Amount using Unitary Method
Calculation of Interest using Unitary Method
Here, given Rate of Simple Interest = 6%
This, means, $6 per $100 per year
∵ For $100, the simple interest for 1 year = $6
∴ For $1, the simple interest for 1 year = 6/100
∴ For $3600, the simple interest in 1 year
= 6/100 × 3600
= 6 × 3600/100
= 21600/100 = $216
Thus, simple interest for 1 year = $216
Therefore, simple interest for 5 years
= Simple interest for 1 year × 5
= $216 × 5 = $1080
Thus, Simple Interest (SI) = $1080
Calculation of Amount
Amount = Principal + Interest
Thus, Amount = $3600 + $1080
= $4680
Thus, Amount to be paid = $4680 Answer
Similar Questions
(1) If Kenneth paid $6000 to settle his loan which he had taken 4 years before at a simple interest of 5%, then find the loan taken.
(2) What amount does Sarah have to pay after 5 years if he takes a loan of $3850 at 9% simple interest?
(3) What amount does Susan have to pay after 5 years if he takes a loan of $3650 at 2% simple interest?
(4) What amount will be due after 2 years if Richard borrowed a sum of $3300 at a 7% simple interest?
(5) Calculate the amount due after 9 years if Sarah borrowed a sum of $5850 at a rate of 6% simple interest.
(6) Find the amount to be paid if Charles borrowed a sum of $5900 at 5% simple interest for 7 years.
(7) Barbara took a loan of $5100 at the rate of 9% simple interest per annum. If he paid an amount of $9231 to clear the loan, then find the time period of the loan.
(8) James took a loan of $4000 at the rate of 6% simple interest per annum. If he paid an amount of $6160 to clear the loan, then find the time period of the loan.
(9) William took a loan of $5000 at the rate of 7% simple interest per annum. If he paid an amount of $8500 to clear the loan, then find the time period of the loan.
(10) Anthony had to pay $4558 in order to furnish the loan taken 3 years before. If the rate of simple interest was 2% then find the sum borrowed.